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742,960

24 × 5 × 37 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,781,136
Proper Divisor Sum 1,038,176
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #742949 ← → #742967

Radix Representation

Decimal 742960
Binary 10110101011000110000 (20 bits)
Octal 0o2653060
Hexadecimal 0xB5630

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 251 296 370 502 592 740 1,004 1,255 1,480 2,008 2,510 2,960 4,016 5,020 9,287 10,040 18,574 20,080 37,148 46,435 74,296 92,870 148,592 185,740 371,480 742,960

Collatz Trajectory (149 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

742,960 371,480 185,740 92,870 46,435 139,306 69,653 208,960 104,480 52,240 26,120 13,060 6,530 3,265 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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